Question

# Taylor has tracked the number of students in his grade since third grade. He records his data in the table below. Is the relation a function ? Explain.

Hint:

### An ordered pair is represented as (INPUT, OUTPUT)

A function from set A to the set B is a relation which associates every element of a set A to unique element of set B.

## The correct answer is: { 726, 759 , 748 , 802 , 895 , 798 }

### We have given the data in the tabular format of the Taylor’s data

We will convert it into point format

As (3,726) , (4, 759) , (5, 748) , (6, 802) , (7, 895) , (8 ,798)

Domain:- { 3, 4, 5 , 6 , 7 , 8}

Co- Domain:- { 726, 759 , 748 , 802 , 895 , 798 }

From the given data we can analyse that each element in the domain input set has exactly one output.

Therefore, the given data is a function.

All functions are relations but all relations are not functions.

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